A slippery suspect whose DNA was matched to three sex attacks mocked the Bronx DA for missteps that got his charges dismissed, joyfully taunting during a jailhouse interview “How’d they blow it? How’d they blow it?”

Brian Brockington, 34, insisted he never raped anyone — though he claims that a full calendar year is a blackout for him.

The vile Bronx man said he was “happy” and anticipating his release from jail after prosecutors missed a filing deadline by one day — and accusations against him in three attacks, in 1993, 1997 and 2003, fell apart.

“They had me locked up for five years,” he said. “What took them so long?”

Prosecutors first charged Brockington in the sex assaults in 2007, when he was taken into custody on an unrelated charge and prosecutors said his DNA matched the cold cases.

“I’m sitting in here and they say you did this one and you did that one,” he insisted. “They’re lying. They don’t have any DNA on me.”

The earliest complaint linked to Brockington accused him of joining two thugs in the vicious gang rape of a 28-year-old in a playground in 1993.

Brockington continues to deny it but the creep doesn’t hold back when it comes to insulting one of his accusers.

“How can you rape someone you’ve had sex with 40 times,” he asked while fidgeting in his seat. “Crackhead.”

Brockington downplayed the accusations, bragged about himself and insisted he was locked up solely for attempted assault — the charge that prosecutors agreed to after the cases accusing him of sex attacks were thrown out.

Brockington also insists that the charges weren’t dismissed because of the statute of limitations and prosecutors missing a filing deadline.

“You know what my charge is?” he asked incredulously. “Assault. Just like if you and me and you got in a fight at a bar. Assault.”

The Teflon jailbird wasn’t so boisterous when asked to explain the incident that led to the attempted assault charge.

That’s when he clammed up, but documents show the “attempted assault” occurred at the same time and place where the 2003 sex attack occurred.

The difference is this — a sentence that’s little more than time served.